Performance of the 1D standard polynomials fitting method for total phase aberration compensation in digital holographic microscopy

Digital holographic microscopy is widely used for quantitative phase information detection. However, in this technique, phase information is usually concealed by aberrations such as tilt, quadratic aberration, and other high-order aberrations. There are few methods that truly capable of total phase aberration compensation. The method based on 1D standard polynomials fitting is one of them. Here, we will study its performance, including the ability of compensating large amount of high-order aberrations, the influence of sample locations and noise. The results are compared with that of the classical 2D Zernike polynomials fitting method. We also give some guidance on sample locations so that the samples are properly located to guarantee the good compensation. Additionally, we thoroughly analyze the similarity and difference between the two methods that both based on the 1D standard polynomials fitting. The results will facilitate the understanding and implement of this type of methods.